N. Thome

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math.RA2025

Additive properties and absorption laws for generalized inverses

Yukun Zhou, Jianlong Chen, Nestor Thome

Let $a, f$ be elements in a ring with pseudo core inverses $a^{D ◯}$ , $f^{D ◯}$ , and let $b = f - a$ . We prove that the absorp…

math.RA2024

The core-EP inverse: A numerical approach for its acute perturbation

Mengmeng Zhou, Jianlong chen, Nestor Thome

This paper studies the concept of stable perturbation $B \in C^{n \times n}$ for the core-EP inverse of a matrix $A \in C^{n \times n}$ with index $k$ . For a given stab…